Publications related to Consistent Sampling and Signal Recovery

Proximity Operators for Phase Retrieval

Michaël Unser, Frédéric Courbin, Ferréol Arnaud Marie Soulez

We present a new formulation of a family of proximity operators that generalize the projector step for phase retrieval. These proximity operators for noisy intensity measurements can replace the classical "noise-free" projection in any projection-based alg ...

OSA2016

Complex pattern projection through a multimode fiber

Demetri Psaltis, Christophe Moser, Damien Claude-Marie Loterie, Salma Farahi

Wavefront shaping through multimode fibers has many interesting applications, such as micromanipulation and endoscopy, where the small diameter of fibers is an advantage in terms of miniaturization. However, pattern projection can suffer from deleterious i ...

Spie-Int Soc Optical Engineering2015

Sampling based on timing: Time encoding machines on shift-invariant subspaces

Martin Vetterli, David Gontier

Sampling information using timing is an approach that has received renewed attention in sampling theory. The question is how to map amplitude information into the timing domain. One such encoder, called time encoding machine, was introduced by Lazar and To ...

Elsevier2014

Multisensor Change Detection with Nonlinear Canonical Correlation

Devis Tuia, Frank Grégoire Jean de Morsier

The analysis of multi-modal and multi-sensor images is nowadays of paramount importance for Earth Observation (EO) applications. There exist a variety of methods that aim at fusing the different sources of information to obtain a compact representation of ...

2013

Role of sampling in evaluating classical time autocorrelation functions

Jiri Vanicek, Tomas Zimmermann

We analyze how the choice of the sampling weight affects efficiency of the Monte Carlo evaluation of classical time autocorrelation functions. Assuming uncorrelated sampling or sampling with constant correlation length, we propose a sampling weight for whi ...

American Institute of Physics2013

Sparse image reconstruction on the sphere: implications of a new sampling theorem

Jean-Philippe Thiran, Pierre Vandergheynst, Dimitri Nestor Alice Van De Ville, Yves Wiaux, Gilles Puy, Jason Douglas McEwen

A new sampling theorem on the sphere has been developed recently, reducing the number of samples required to represent a band-limited signal by a factor of two for equiangular sampling schemes. For signals sparse in a spatially localised measure, such as i ...

Institute of Electrical and Electronics Engineers2013

Sampling Trajectories for Mobile Sensing

Martin Vetterli, Jayakrishnan Unnikrishnan

Classical sampling theory for sampling and reconstructing bandlimited fields in

\Re^d

addresses the problem of sampling on lattice points. We consider a generalization of this problem, in which one samples the field along

1

-dimensional spatial trajecto ...

2011

Resolution-Invariant Separable Arma Modeling Of Images

Michaël Unser, Aurélien Bourquard, Hagay Kirshner

We suggest a continuous-domain stochastic modeling of images that is invariant to spatial resolution. Specifically, we are proposing an estimator that is calibrated with respect to the sampling step, and that can potentially handle aliased data. Motivated ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Resolution-Invariant Separable ARMA Modeling of Images

Michaël Unser, Aurélien Bourquard, Hagay Kirshner

We suggest a continuous-domain stochastic modeling of images that is invariant to spatial resolution. Specifically, we are proposing an estimator that is calibrated with respect to the sampling step, and that can potentially handle aliased data. Motivated ...

IEEE2011

Distributed Sampling of Signals Linked by Sparse Filtering: Theory and Applications

Martin Vetterli, Olivier Roy, Yue Lu, Ali Hormati

We study the distributed sampling and centralized reconstruction of two correlated signals, modeled as the input and output of an unknown sparse filtering operation. This is akin to a Slepian-Wolf setup, but in the sampling rather than the lossless compres ...

2010

Consistent Sampling and Signal Recovery

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Proximity Operators for Phase Retrieval

Complex pattern projection through a multimode fiber

Sampling based on timing: Time encoding machines on shift-invariant subspaces

Multisensor Change Detection with Nonlinear Canonical Correlation

Role of sampling in evaluating classical time autocorrelation functions

Sparse image reconstruction on the sphere: implications of a new sampling theorem

Sampling Trajectories for Mobile Sensing

Resolution-Invariant Separable Arma Modeling Of Images

Resolution-Invariant Separable ARMA Modeling of Images

Distributed Sampling of Signals Linked by Sparse Filtering: Theory and Applications

Sampling based on timing: Time encoding machines on shift-invariant subspaces

Proximity Operators for Phase Retrieval

Role of sampling in evaluating classical time autocorrelation functions

Complex pattern projection through a multimode fiber

Sparse image reconstruction on the sphere: implications of a new sampling theorem

Multisensor Change Detection with Nonlinear Canonical Correlation

Sampling Trajectories for Mobile Sensing

Distributed Sampling of Signals Linked by Sparse Filtering: Theory and Applications

Resolution-Invariant Separable Arma Modeling Of Images

Resolution-Invariant Separable ARMA Modeling of Images